Answer:
[tex]x=\frac{c}{(b-a)}[/tex]
Step-by-step explanation:
We have been given an expression:
[tex]ax=bx-c[/tex]
To solve for 'x' we need to separate the variable 'x' and bring it on one side of the equation:
[tex]ax=bx-c[/tex]
[tex]ax-bx=-c[/tex]
[tex]x(a-b)=-c[/tex]
[tex]x=\frac{-c}{(a-b)}[/tex]
[tex]x=\frac{c}{(b-a)}[/tex]
We need to filter out 'x' and equate it with the rest.